Source file src/pkg/math/hypot.go
1 // Copyright 2010 The Go Authors. All rights reserved. 2 // Use of this source code is governed by a BSD-style 3 // license that can be found in the LICENSE file. 4 5 package math 6 7 /* 8 Hypot -- sqrt(p*p + q*q), but overflows only if the result does. 9 */ 10 11 // Hypot computes Sqrt(p*p + q*q), taking care to avoid 12 // unnecessary overflow and underflow. 13 // 14 // Special cases are: 15 // Hypot(p, q) = +Inf if p or q is infinite 16 // Hypot(p, q) = NaN if p or q is NaN 17 func Hypot(p, q float64) float64 { 18 // TODO(rsc): Remove manual inlining of IsNaN, IsInf 19 // when compiler does it for us 20 // special cases 21 switch { 22 case p < -MaxFloat64 || p > MaxFloat64 || q < -MaxFloat64 || q > MaxFloat64: // IsInf(p, 0) || IsInf(q, 0): 23 return Inf(1) 24 case p != p || q != q: // IsNaN(p) || IsNaN(q): 25 return NaN() 26 } 27 if p < 0 { 28 p = -p 29 } 30 if q < 0 { 31 q = -q 32 } 33 if p < q { 34 p, q = q, p 35 } 36 if p == 0 { 37 return 0 38 } 39 q = q / p 40 return p * Sqrt(1+q*q) 41 }